Constants are anything that is not a variable. A variable is a letter. So think about it... What would be the constants? What is not a letter? TIP: Make sure you include - sign!_
Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>
Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>
Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
Answer:

Step-by-step explanation:
To find this probability, we have to know:
- How many numbers are there in between 5 and 8 inclusive?
- How many total numbers are there?
We simply divide the first answer by the second one and get our probability.
So, the numbers are 5,6,7,8 ----- that is 4 numbers
How many numbers are there in total? That is:
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 ------- 9 numbers
Thus, the probability is 4/9
11,340 I believe. 5% of 8400 is 420. 420*7=2940 2940+8400=11340